{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:4WVBWAE65DQHUWGEGE4SB2V62M","short_pith_number":"pith:4WVBWAE6","canonical_record":{"source":{"id":"2306.14344","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-06-25T21:15:12Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"414fcd248747ddb6fa4c89acb156a789b07a62e571c16dbc70118220be359058","abstract_canon_sha256":"0311c742d47b70484c64818f68e2a7929547be653618700bc8f7218b4caac614"},"schema_version":"1.0"},"canonical_sha256":"e5aa1b009ee8e07a58c4313920eabed31fc18d4d0141391445455a48931af50b","source":{"kind":"arxiv","id":"2306.14344","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.14344","created_at":"2026-05-25T02:02:04Z"},{"alias_kind":"arxiv_version","alias_value":"2306.14344v4","created_at":"2026-05-25T02:02:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.14344","created_at":"2026-05-25T02:02:04Z"},{"alias_kind":"pith_short_12","alias_value":"4WVBWAE65DQH","created_at":"2026-05-25T02:02:04Z"},{"alias_kind":"pith_short_16","alias_value":"4WVBWAE65DQHUWGE","created_at":"2026-05-25T02:02:04Z"},{"alias_kind":"pith_short_8","alias_value":"4WVBWAE6","created_at":"2026-05-25T02:02:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:4WVBWAE65DQHUWGEGE4SB2V62M","target":"record","payload":{"canonical_record":{"source":{"id":"2306.14344","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-06-25T21:15:12Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"414fcd248747ddb6fa4c89acb156a789b07a62e571c16dbc70118220be359058","abstract_canon_sha256":"0311c742d47b70484c64818f68e2a7929547be653618700bc8f7218b4caac614"},"schema_version":"1.0"},"canonical_sha256":"e5aa1b009ee8e07a58c4313920eabed31fc18d4d0141391445455a48931af50b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:02:04.830165Z","signature_b64":"iaH6vjCppnIIJg3p2M36OaDfXf6wF+fjfPe8X4JzowtcXTYEi9Msob3YADahcxrbsMCzSCs7Xb0iD7KYy0IoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5aa1b009ee8e07a58c4313920eabed31fc18d4d0141391445455a48931af50b","last_reissued_at":"2026-05-25T02:02:04.829471Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:02:04.829471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.14344","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-25T02:02:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b97a2NKD68xRfvyL+6XJ30Ivhsg+HfzlJKmGuB2HC1E9Pi9ntVLKSkfJNFI+a2OGHDibF7Y8Tu3Hjcx5xbfPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:53:43.220733Z"},"content_sha256":"eebd97689e8bab49e3939a64202262a7b112750c941b516a9a15884a80543bc5","schema_version":"1.0","event_id":"sha256:eebd97689e8bab49e3939a64202262a7b112750c941b516a9a15884a80543bc5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:4WVBWAE65DQHUWGEGE4SB2V62M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On steering in the C*-algebraic framework","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Michal Banacki","submitted_at":"2023-06-25T21:15:12Z","abstract_excerpt":"We discuss a scenario of bipartite steering with local subsystems of the parties modeled by certain operator algebras. In particular, we formalize the notion of quantum assemblages in a commuting observables paradigm and focus on equivalent descriptions of such objects providing a systematic analysis of previously scattered approaches. We provide necessary and sufficient conditions for the equivalence of quantum commuting and tensor models that is stable under extensions of the trusted subsystem by arbitrary finite-dimensional ancillae. As a result, we show that the gap between two models of b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.14344","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2306.14344/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-25T02:02:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tve9iC2USKSurGEShu/hXdzFTIiX/TNykChtw5UiN5FVaGdBipXS0MFOOwEVv/66rFVZa4LY0JTeZMdwkNd6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:53:43.221103Z"},"content_sha256":"6fc8bea967a5ac487449d77827ab59a205fecfaef398a49a5a6468589b46b806","schema_version":"1.0","event_id":"sha256:6fc8bea967a5ac487449d77827ab59a205fecfaef398a49a5a6468589b46b806"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4WVBWAE65DQHUWGEGE4SB2V62M/bundle.json","state_url":"https://pith.science/pith/4WVBWAE65DQHUWGEGE4SB2V62M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4WVBWAE65DQHUWGEGE4SB2V62M/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T15:53:43Z","links":{"resolver":"https://pith.science/pith/4WVBWAE65DQHUWGEGE4SB2V62M","bundle":"https://pith.science/pith/4WVBWAE65DQHUWGEGE4SB2V62M/bundle.json","state":"https://pith.science/pith/4WVBWAE65DQHUWGEGE4SB2V62M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4WVBWAE65DQHUWGEGE4SB2V62M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:4WVBWAE65DQHUWGEGE4SB2V62M","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0311c742d47b70484c64818f68e2a7929547be653618700bc8f7218b4caac614","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-06-25T21:15:12Z","title_canon_sha256":"414fcd248747ddb6fa4c89acb156a789b07a62e571c16dbc70118220be359058"},"schema_version":"1.0","source":{"id":"2306.14344","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.14344","created_at":"2026-05-25T02:02:04Z"},{"alias_kind":"arxiv_version","alias_value":"2306.14344v4","created_at":"2026-05-25T02:02:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.14344","created_at":"2026-05-25T02:02:04Z"},{"alias_kind":"pith_short_12","alias_value":"4WVBWAE65DQH","created_at":"2026-05-25T02:02:04Z"},{"alias_kind":"pith_short_16","alias_value":"4WVBWAE65DQHUWGE","created_at":"2026-05-25T02:02:04Z"},{"alias_kind":"pith_short_8","alias_value":"4WVBWAE6","created_at":"2026-05-25T02:02:04Z"}],"graph_snapshots":[{"event_id":"sha256:6fc8bea967a5ac487449d77827ab59a205fecfaef398a49a5a6468589b46b806","target":"graph","created_at":"2026-05-25T02:02:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2306.14344/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss a scenario of bipartite steering with local subsystems of the parties modeled by certain operator algebras. In particular, we formalize the notion of quantum assemblages in a commuting observables paradigm and focus on equivalent descriptions of such objects providing a systematic analysis of previously scattered approaches. We provide necessary and sufficient conditions for the equivalence of quantum commuting and tensor models that is stable under extensions of the trusted subsystem by arbitrary finite-dimensional ancillae. As a result, we show that the gap between two models of b","authors_text":"Michal Banacki","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-06-25T21:15:12Z","title":"On steering in the C*-algebraic framework"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.14344","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:eebd97689e8bab49e3939a64202262a7b112750c941b516a9a15884a80543bc5","target":"record","created_at":"2026-05-25T02:02:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0311c742d47b70484c64818f68e2a7929547be653618700bc8f7218b4caac614","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-06-25T21:15:12Z","title_canon_sha256":"414fcd248747ddb6fa4c89acb156a789b07a62e571c16dbc70118220be359058"},"schema_version":"1.0","source":{"id":"2306.14344","kind":"arxiv","version":4}},"canonical_sha256":"e5aa1b009ee8e07a58c4313920eabed31fc18d4d0141391445455a48931af50b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5aa1b009ee8e07a58c4313920eabed31fc18d4d0141391445455a48931af50b","first_computed_at":"2026-05-25T02:02:04.829471Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:02:04.829471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iaH6vjCppnIIJg3p2M36OaDfXf6wF+fjfPe8X4JzowtcXTYEi9Msob3YADahcxrbsMCzSCs7Xb0iD7KYy0IoDQ==","signature_status":"signed_v1","signed_at":"2026-05-25T02:02:04.830165Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.14344","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eebd97689e8bab49e3939a64202262a7b112750c941b516a9a15884a80543bc5","sha256:6fc8bea967a5ac487449d77827ab59a205fecfaef398a49a5a6468589b46b806"],"state_sha256":"53afebb74392378210158f39e3405a10a96b32c374540f3825f6bcdb6aa1973e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G5Z+meWjzI8NPgLsHN/kD6qnYV1MzXYoloy14uReRj8fDVZ5Gt3P7kDAF4075U3wsR7F8h4K7u7q007DshSUDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T15:53:43.223035Z","bundle_sha256":"f60a54ef51aa9b7be6831c50c56497f72b1eb7f8082fabf64014dd597cc1c353"}}